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Square-full
primitive roots in arithmetic progressions
Vichian Laohakosol, Teerapat Srichan and Pinthira Tangsupphathawat |
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Vol. 9 (2020), No. 2, 187–202
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DOI: 10.2140/moscow.2020.9.187
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Abstract |
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An asymptotic estimate for the number of positive primitive roots which are square-full integers in arithmetic progressions is derived. The employed method combines two techniques and is based on the character-sum method involving two characters; one character is to take care of being a primitive root, based on a result of Shapiro, and the other character is to take care of being square-full, based on a result of Munsch. |
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Keywords
arithmetic progressions, primitive roots, square-full
numbers
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Mathematical Subject Classification
Primary: 11A07, 11B25, 11N37, 11N69
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Milestones
Received: 26 May 2020
Accepted: 23 June 2020
Published: 7 August 2020
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Authors |
| Vichian Laohakosol | |
| Department of Mathematics, Faculty
of Science Kasetsart University Bangkok Thailand |
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| Teerapat Srichan | |
| Department of Mathematics, Faculty
of Science Kasetsart University Bangkok Thailand |
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| Pinthira Tangsupphathawat | |
| Department of Mathematics, Faculty
of Science and Technology Phranakorn Rajabhat University Bangkok Thailand |
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